{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "ecgtoimage.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "source": [
        "!pip install pyts"
      ],
      "metadata": {
        "id": "XUdI3qH3lM1N"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "!python -m pip uninstall matplotlib\n",
        "!pip install matplotlib==3.1.3"
      ],
      "metadata": {
        "id": "-m2yfa_kFldQ"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "!pip install wfdb"
      ],
      "metadata": {
        "id": "_UtuAjhRZr0t"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "ING8-leNQYj6"
      },
      "outputs": [],
      "source": [
        "from pyts.image import GramianAngularField, MarkovTransitionField\n",
        "import matplotlib.pyplot as plt\n",
        "import pandas as pd\n",
        "import os\n",
        "import wfdb\n",
        "import numpy as np\n",
        "from sklearn.metrics.pairwise import pairwise_distances"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from google.colab import drive\n",
        "drive.mount('/content/drive/', force_remount = True)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "A_bNxwSZZxZF",
        "outputId": "3ba436fc-d870-4a4b-ed72-2025130fe1b6"
      },
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Mounted at /content/drive/\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "path_ = '/content/drive/My Drive/DSL/test/'\n",
        "\n",
        "df = pd.read_csv(os.path.join(path_,'ptbxl_database.csv'))\n",
        "\n",
        "for f in df.filename_lr:\n",
        "    print(f)\n",
        "    print(path_+f)\n",
        "    x_example = wfdb.rdsamp(path_+f)\n",
        "    break"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "fB9SBlX3aSoj",
        "outputId": "f8f49b4e-01cf-4f4a-b9ab-3b29475e8b51"
      },
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "records100/00000/00001_lr\n",
            "/content/drive/My Drive/DSL/test/records100/00000/00001_lr\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x_example[0][:,0].shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "npkKPtNUccLV",
        "outputId": "5d4616a8-aa71-4973-d99b-a3f52a0dabab"
      },
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(1000,)"
            ]
          },
          "metadata": {},
          "execution_count": 4
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "plt.plot(x_example[0][:,0])"
      ],
      "metadata": {
        "id": "NW879quQke12",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "outputId": "959be01b-5826-4b79-e097-0e7bfdd295c1"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f55e1b59790>]"
            ]
          },
          "metadata": {},
          "execution_count": 5
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "<font color=#c33432, size=6>1D ECG Signal</font>"
      ],
      "metadata": {
        "id": "hi75T3nnXSA4"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "x_example_lead1 = x_example[0][:,1]\n",
        "x_example_lead1 = x_example_lead1[:100]\n",
        "x_example_lead1.shape\n",
        "\n",
        "#normalization\n",
        "x_example_lead1 = (x_example_lead1 -min(x_example_lead1)) / max(x_example_lead1-min(x_example_lead1))"
      ],
      "metadata": {
        "id": "efanzUUNXQfU"
      },
      "execution_count": 6,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(x_example_lead1)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "id": "CZ07CPJtXXFq",
        "outputId": "6232889a-ae7c-4a34-ae97-3e85d7285fe5"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f55e16a9c10>]"
            ]
          },
          "metadata": {},
          "execution_count": 7
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "The following functions are based on a publicly available implementation for ECG to image conversion (https://github.com/zaamad/ECG-Heartbeat-Classification-Using-Multimodal-Fusion/blob/main/heartbeat_data_generator-MITBIH.ipynb)"
      ],
      "metadata": {
        "id": "L2EEX1g5Oq5d"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "<font color=#c33432, size=6>Gramian Angular Field</font>\n",
        "\n"
      ],
      "metadata": {
        "id": "CRoAFrTRUlz1"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Gramian Angular Field\n",
        "gaf = GramianAngularField(image_size=100, method='summation')"
      ],
      "metadata": {
        "id": "DjB5VFLnUuQ7"
      },
      "execution_count": 8,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "x_gaf = gaf.fit_transform(x_example_lead1.reshape(1,-1))"
      ],
      "metadata": {
        "id": "Aiz-f5HkXBj9"
      },
      "execution_count": 9,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "x_gaf.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "BW7-cHpoXHg7",
        "outputId": "eb098189-50e5-4500-c6f7-65c831faa503"
      },
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(1, 100, 100)"
            ]
          },
          "metadata": {},
          "execution_count": 13
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.imshow(x_gaf[0], cmap='gray')\n",
        "plt.colorbar()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 287
        },
        "id": "G-9oa28vXJwj",
        "outputId": "3d82e112-202c-4b55-e4f2-29a496f135ce"
      },
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.colorbar.Colorbar at 0x7f55e0c5c990>"
            ]
          },
          "metadata": {},
          "execution_count": 12
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "<font color=#c33432, size=6>Markov Transition Field</font>"
      ],
      "metadata": {
        "id": "hQC3qYm3lnUV"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Hearbeat values range from 0 to 1; we will divide into quantiles and see which bin each value belongs to\n",
        "# and what the probability is to transfer from 1 bin to other\n",
        "# i.e if 1 value is in bin 1 and the next value is in bin 5, what is the probability of transferring from\n",
        "# bin 1 to 5\n",
        "# correlation matrix of probabilities is markov transition field\n",
        "def get_quantiles(min_value=0, max_val=1, k=10):\n",
        "    c = (max_val - min_value)/k\n",
        "    b = min_value + c\n",
        "    d = []\n",
        "    for i in range(1, k):\n",
        "        d.append(b)\n",
        "        b += c\n",
        "    d.append(max_val)\n",
        "    return d\n",
        "\n",
        "quantiles = get_quantiles()\n",
        "\n",
        "def value_to_quantile(x):\n",
        "    for i, k in enumerate(quantiles):\n",
        "        if x <= k:\n",
        "            return i\n",
        "    return 0\n",
        "\n",
        "def get_mtf(x, size=10):\n",
        "    q = np.vectorize(value_to_quantile)(x)\n",
        "    r = np.zeros((q.shape[0], q.shape[0]))\n",
        "    y = np.zeros((size, size))\n",
        "    for i in range(x.shape[0] - 1):\n",
        "        y[q[i], q[i + 1]] += 1\n",
        "    y = y / y.sum(axis=1, keepdims=True)\n",
        "    y[np.isnan(y)] = 0\n",
        "    \n",
        "    for i in range(r.shape[0]):\n",
        "        for j in range(r.shape[1]):\n",
        "            r[i, j] = y[q[i], q[j]]\n",
        "    #return r / 5. - 1\n",
        "    return r"
      ],
      "metadata": {
        "id": "JeoKkliMlrjl"
      },
      "execution_count": 15,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "mtf = get_mtf(x_example_lead1)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "pHwGruKXmBH9",
        "outputId": "85b0475f-b8f3-46a1-d95a-3045b6a4b1b9"
      },
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:30: RuntimeWarning: invalid value encountered in true_divide\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.imshow(mtf, cmap='gray')\n",
        "plt.colorbar()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 287
        },
        "id": "JtRyg1vbmFUV",
        "outputId": "726cc1c3-dd93-4d4c-daca-5f53d3942d6f"
      },
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.colorbar.Colorbar at 0x7f55e059b910>"
            ]
          },
          "metadata": {},
          "execution_count": 18
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "<font color=#c33432, size=6>Recurrence Plot</font>"
      ],
      "metadata": {
        "id": "qOZvjSlZmuU3"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# recurrence plot\n",
        "def recurrence_plot(s, eps=None, steps=None):\n",
        "    result = []\n",
        "    if eps==None: eps=0.1\n",
        "    if steps==None: steps=10\n",
        "    d = pairwise_distances(s[:, None])\n",
        "    #d = d / eps\n",
        "    #d[d > steps] = steps\n",
        "    #return d/5. - 1\n",
        "    return d"
      ],
      "metadata": {
        "id": "LLpgQCX9m17Q"
      },
      "execution_count": 62,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "rp = recurrence_plot(x_example_lead1)"
      ],
      "metadata": {
        "id": "CCFy79SAoZNu"
      },
      "execution_count": 63,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.imshow(rp, cmap='gray')\n",
        "plt.colorbar()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 287
        },
        "id": "tRv9U5dsojuF",
        "outputId": "89a00c26-b52e-4637-b423-0ac89974e5fa"
      },
      "execution_count": 64,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.colorbar.Colorbar at 0x7f55ddc03150>"
            ]
          },
          "metadata": {},
          "execution_count": 64
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ],
            "image/png": 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JuUJOWh3MDGvXrp2I0+JKz9XQc0J6GtNKyxVWT5fUpbLnalSTXN05qwsT3w51HcPyvLyqVnYf1zTMo7o+kcyPafXkSw2pgdFTVS3H02ccOQbtp6jN2u/qzsa3NeJE/DvjvUyLYXqCqVxnxN3UxqHlblk5rJU4AfQThNZTv6PINY3nzKPT9ZVglpOWmW0HcD2ARQCfKKX8nsT/HQCfAbChS7OjlHJzjV79HHVI8GIz+5qZ3WNmd5vZB7vw88zsL8zs293z3CnalUgkVgkoiO/zNw5mtgjgYwB+HMAVAN5hZldIsn8J4HOllFcDuAbAf2jRHDtpATgK4FdKKVcAeB2A93eF7gDw1VLK5QC+2r0nEonvA1ArftxfD7wWwH2llN2llMMAbgBwtRYHgMLe9QAeaREcuz0spTwK4NHu9zNmdi+ArV3Bb+iSfQbALQB+fRy9hYWF0MumCjZV5aF1PEw2nkfW9JnkvZxSwDvOR7wXlHNLqfTUY6n3sTTOn5ZPyzbyeJ5xre2h+tNSYbFvs+ZRoTrr79UaKNRVOszj/XUxP8PYh8zLunnh+iz9aTHee6hlmpqPeNbNHw6oPy36uI8MptWflipKtwym+3gu1W0my2upPHhB/KxUFSbYHm40s9vc+85Syk73vhXAQ+59L4CrhMZvA/hzM/t5AGcCeHOrwIlkWmZ2KYBXA9gFYHM3oQHAdwFsruS5DsB1k5STSCROLiaYtA6UUq6csrh3APijUsq/M7MfBvDHZvaKUko4A/eetMzsLAB/BuAXSylPi5lCMbOwld2suxMAtmzZUq699trQJYcKXVWgylVw//79I2XoDTJcnehxFBiuvLpikcuIVB64Kl9//fXL6vI3f/M3AIAf+ZEfAQC85jWvWcpDTksVUany4G/jUR/xfTyXEsp98COLPJeq33pyHQ8++CAA4JFHhtw4OaCbbroJwJCLYTs813ThhRcuy8Pj+Ve96lUAhp5RJ/FcGqk81DhPclrecynDapxWpPJA7p39pF5P/T8w1VKmUXlgnVS9wdNlnKo8jPMR/+lPfxrTYsYG0w8DuNi9X9SFebwXwPau7P9jZusAbASwLyLYR6YFM1uLwYT12VLKF7rgx8xsSxe/pVZAIpGYP8xQpnUrgMvNbJuZnYaBoP1GSbMHwJsAwMz+HoB1AEa5kw5jOS0bTPGfBHBvKeUPXNSNAN4F4Pe65xfH0dq0aRPe9773TXQbzzScFn26A6OcliqXtm7jYdqPf/zjAICrrhpsyd///vcDWM5pcSVX5VJyAy996UuX0tY4rUlu41G1j4jTYp3UIR45rccee2wpD+u9e/duAP04LcZRHkUHgpdeeimA5fIjcgWUP/JbYPhK7j2chNOKfMQrp8X6q1E6MMppTXPvYctHPOMoX2txWl42/KUvfQmzwAxlY0fN7AMAvoKBOsOnSil3m9mHAdxWSrkRwK8A+M9m9ksYCOWvLY0Zsc/28PUA3gngLjP72y7sNzGYrD5nZu8F8CCAt6+0YYlEYnVhlnpanc7VzRL2Iff7HgzmmV7oc3r4vwBYJfpNfQsCBlzArl27VnTvIbkRf8O0GvfqDdN+BRon02pxWpRhkcPatWvXsqdf9WoyLXIDK7lhus+9h/zIohumyWmxnuRM9+zZAyDmtO6///5lfcB2eNcxW7duXdZWcmHkDkg3ck1DOjrOk3BabDvlhT7PJLfxTCLT0tPDSdwt6zeu8ltf1iSclpdp+W9+pUgngIlEYu6Qk1aHhx9+GDt27Ajdd9Sc/usN055TIbgi8t5Drqa8lxAYrp41PS2uVn4FJofCU0LKsMhh7dgx0KeNZFqkS84luvdQOS3Ku1qnh3riNM3pIesY3XvIkz9yU5Ge1i233LIsj97jOOvTQ7aV/RPJtJhH5VLKaUVukVhv5bQ810SZluY9mfceeu5q7969mAVy0kokEnOFnLQ6HDlyBPv37x8xjgaGKwm5AJVNcAVucVoXXHABgCG3429+5jVfqlmvV2N5+RHlF+Sk+ORqx/evf/3rS3kokyHnxsEnZ+GvG2Nd2DbG6QcTWQFQLqUuabzMiTKfiy++eBkdtvGSSy4BsJzTIrf0spe9bFkfqGwRGPZ37YZpXiEWOQFkHnVeSFmab5Nyk/xGVO7jy/rGN76xrM0cM/a151TUmSBlfVq+L3sSPS3ltNT1d8sJIPtQZbHeSJrflo+fBukEMJFIzB2S00okEnOFnLQ6HD9+HM8888xEPuJVGKo+y30asv4UPPMJjPra5jvZfab1bLfS4bZT3/0xfc1gmsfyXhCvdKiq0eeGaTXmje5grPkbY171sgoMt22M0/7ygnim0e2h9pNXeVCVENaX4dFtPOME8X6cuQVTz6UcI9Ytuo1HxzNSeWDcLHzEM43fPjMtnxTEtwymfftnhZy0EonEXCEnrQ4LCwvV23hqnku5CnLl9Ku23mRM7kYVCoHR21n09hfS91yOcktMo4qjXrkvulXG5/FpWRY5RMapMqlyTJ6eei71JjOa1gt8fV2j23iYh8+Ik2M+VYjUfvJ9EYXVwmvKpRoeeS4l96F3F7Kc6DYejkPrNh69o2AaMx7l1oBRIT3La3ku9ePXusmpL1IQn0gk5g7JaXXgvYctlQeVaakipJe/EFyFVG3Bcx3KmZDr0LsB/U2+tXsOtS5+gJXT4apNFyOUm/i0fNIYXO8nnETloXXvIelof/k66z2EfJJWdO+hclq1OxN9WO2+xkgVQduqKg++/gyjfE3voSQ35b89veGbeVmu53Rr9x72UXlQ/+99VB4oC9Vwv+Pw7Z+FyoOv82pEclqJRGIEOWl1OHbsGA4ePLii23jUSNb/5j5eHb158w6unsxDGZc66fN1Yn7G8V2fnvtjWq5+5LBaTgBJh2n7GEyzPfpxeZmGmixxRVfjZL/S8ySQp1ZqZuNPqtgmyl3Yp9pvnitgGPuMHAnDvRmPngASLC8y4yE9lqlKpdE4s/3qEjuSaXGMZuGahs/I9GoSJ4DeYHwWSIPpRCIxd8hJi4WtWYPzzjtvRaeH1GHyek6qt0MuhqtslLZmxhPpSHHFJV0aNPOd9L1pDsPIDZDrYx7vxJCrP7mamkwrkuOxjXp66PWctB3aZtbJc3/ktNhW5tVTVmC46utN2xxLchD+RJD9rHIjhntOjmOhp57st8iMh2F0YaSXebCtnlPhb8ZpXs/d79u33EFvjdPyp2/Mr9846fs+1dNDcn8qQ/N94r9zf8nHNMjTw0QiMVdITiuRSMwNUqblcOzYsYnNeHSrFF37TvaegmBuMbyAU5VL9dpxvf3H10HNedQPlmelmYZ0uWViuBc0M7/eS6gKgpFwXc2b1IOpT8s43SqxfL+lnMSMh/nHmfH47SHHSs2QGO63bRwjbj9VHKDX2QOjgmrdYrJOvhwvNAdGFTv73MYziRkP6xT5cNMxUzUV1tv70Io8AE+LnLQSicRcISetDqUUvPDCC0urkjdarXFayllFQmm9sUefwHAFU/9K5DKiew9r9PTpuSdyGQzTG6a950v1NkpBsAqeWwbT6msq4rRUIVV9Y0WcFuOU0/IrfI3T4lP72NNh/8zCc6kfZ3IdpNPHcynHiHTo9TRSeSDdWRpMR+PLMKo8tAymo5vap0VOWolEYm6QtocOi4uLWL9+/YrMePp4LmUcOQqflsfYahDMFZ4cUOS5VFUDVAXCqzzw6J6cG9UYuGJ6lQet5yRmPGpCFKk8MEyVSLW/IpUHhrU8l5IO28o6qQJvpPKgnksZHnFN48x4fP1V5YFtpioA2xOZC9VUHrwZD8dolmY8kekV+4V10XD/v8O+A5abiU2D5LQSicRcISetDqUUHD58eGm18KuRyga8vAuIT9b0JE2fPq2eVrEclY94Tkvp1Oj7Ada0aobkuSg92dK0RCSnIlS5VOVhWmZUR99PtTbrOzB6QlcbB59Hb/hW90KeA9Ix0X+k6MRX5UbaP0zr5Uh6qleTpQGjyruT3Huot6Zr3qg/aqeH0Sk3kDKtRCJxiiInrUQiMTdIQXwikZg7JKfVgTIt7sF9x6ihKdO0ZBEEZREqW4mMYtX9LhHJX5SOpmG4lyPpzc96Yuf1zFhfpaN1azl205MpX3+GaX6VRfl4DdNnq39qsi3fnpo8h+G+L2uyJW2PrxNlSqqPp664vexM5UU6Dr7+epKpp4dsV3R6qHK7SE+rZsXA96gPIj2vaZGTViKRmCvkpJVIJOYGaTAdIGK7o7Bx79EtNbW0NTotGuMGTo/Tozwt+mqCE13DPg6tOtbixvVxFBelmebDrrUxCtcw3W5F4zyuL1vt0a1YlFbpannRN1Gr0yT92KI/Ka0WctJKJBJzhTw97KDKpb5jah4giUi5kagpfUYKeCp01bsLvSJmja4KqyOFUZoJMU5vh4noRsbgNahwWg2pfZwKxFvKn30Valt0mIYCZ2+moh5Q+xhM17ilSCFYfcSrsTjL8QJ/9ehKUx/Ccx2kO4kZj4apJ9NIkM6+owmWCuh9n+hdjNNitW8PF8YnSSQSpxo4cY376wMz225m3zKz+8xsRyXN283sHjO728z+a4teb07LzBYB3Abg4VLKW8xsG4AbAJwP4HYA7yyljLJBo3TCfbmaL9RWFu+vu5ZXn8Ao56bmPNENyrrS1+oUyRRUtULDo7KjNDX6NXmYb3Ot3q1+qo1DRH/cWEXt0TDtp6h/amMUmS7VfLVPMg61vK361trVimul1Ty6O3kx5Fges6LZzRsfA/BjAPYCuNXMbiyl3OPSXA7gNwC8vpRy0Mxe2qI5Caf1QQD3uvePAPhoKeXlAA4CeO8EtBKJxCrGDDmt1wK4r5Syu2NqbgBwtaT5pwA+Vko52JW9Dw304rTM7CIAPwngdwH8sg2WpDcC+OkuyWcA/DaAj4+j5RvbOj2scR2RgLCWx6etne7oCVR0KlM7bYvytE6R9L1WdiuP1qHlBHBcn7Y4oT7jUUujaJ0IalyLU5yE061xiq1yanlb9R5XR2CUkxv3jfi69MnTOr1eCUqZyIxno5nd5t53llJ2uvetAB5y73sBXCU0/i4AmNn/BrAI4LdLKV+uFdh3e/iHAH4NwNnd+/kAniylUK14b1e5EZjZdQCu61lOIpFYBZhg8jtQSrlyyuLWALgcwBsAXATgr8zslaWU8D60sZOWmb0FwL5Syu1m9oZJa9PNujsBYHFxsaxbt27EVQcwenkB5Uk8WeHK5U+i9IbpmvtfYHgqVTs9ZLn+dI+uedWNMMvhu3dXok4GSZ919GmVQ2GcupeJTkxJT7k132ZCT9m0v/ypJceBdJi35W5Zb5jWfvFjRnqMU/MX3z+1y03YP9EN00qHeTmuetu2/10bB/8PXHNNw3Yw7SQ3TPv/A83P75bfZ3TDtOfq/PhMgxnKyR4GcLF7v6gL89gLYFcp5QiAB8zs/2Ewid0aEewj03o9gLea2Xcw2I++EcD1ADaYGSe9qCKJRGJOMUOZ1q0ALjezbWZ2GoBrANwoaf47BlwWzGwjBtvF3TWCYyetUspvlFIuKqVc2hX4l6WUnwHwNQBv65K9C8AX+7QgkUisfsxq0upESB8A8BUMDvI+V0q528w+bGZv7ZJ9BcDjZnYPBvPKr5ZSHq/RnEa59NcB3GBmvwPgDgCf7JOppvKg6CPkrQkLa54ctB7Rs09dNDwS6tbKWUkd+piEtNpaq3cLtb6N8tbojxMaR2kmSRth3GHGJOPRByp4j+4d7DOu4+Ja75PUtw8m4KL60rsZwM0S9iH3uwD45e5vLCaatEoptwC4pfu9G4PjzEQi8X2GNOPpsLi4iHPOOWdEIAnUhZQULHLmj26YpoCZQlLeIuwFuLyxpCaIp+Df52GZpMebTvQG5Ysv9nLGAVQQz/Z4ExE9WqfJhgqeI39aNTOeyF8460nBMuvCdrCuwOgN0yqI97flMH/thumNGzcu6wPfNjXjYXjr3kNte8uvPPuSaVkH9om/zYb9ouOgJjvAcPyUjt532PIRr/7rIzMexvG7bQnifVv8zUfT4MVQWJ0V0mA6kUiMICetDmaGtWvXjhgvA6PGpGquE3nO5OpT8yjqORa9w45PhkdH4Xo7Ts2TaZSHYbWnT6t5+j2RtSQAACAASURBVEDlaXyP1CPUiyc5iGm8tbbSqgdQ3y6OM9usHIofM72RSRGpRGiYjnNUJ+WyldP1XJOOkX7Lynn5/EzLJ7+5SGapHlhr/xda1izkW7OWac0ayWklEokR5KTV4fjx43jhhRdC5VLd7+uddpR1RDItri6UW3Bf7/f3/B3JQYD4DkPmYZmkrwqLnlPxrlt8eQyP6tS6hxCIZR4q19F7HH1atpX1ZRq2x8ucSIdpVa7j68J8Op5ajl/99Z5JrXcfH/Hadt+nzMMwlQeyHM896b2HzMtyfFqVGel9nco5AqPj0PIRrzItlqdubPz3G435tMhJK5FIzBXy9LDDaaedhksuuaQXp6WnJDzNevDBB5fyqHyKKyPNb7Zt27aUlidZegpDboEnYF6ewVMwlsnnnj17luW95JJLlvKwnozjyRxPpDZt2rSUlidxfDJO5VLKefk0KtPyp3vaDj1JY3u8Ezn+5srO0zKu+N5M6JFHHgEw7Dv26fnnnw9g2C+TOAFkP/k6aH/wm9CTQmDI+XC8VY7HbyPi6Nh3zBtx3xs2bFhWl5rzSs9p6YniJGY85557LoDR7zYygQOGYz0NUqaVSCTmDjlpdVi7di02b968IpkWOZZID4nc0aOPPgpgyB1s3rx5KS1Xf5VptTgtxpGjeOyxx5Y9Sd+XQw5COS2u7J7Tol4Zn4ybRqYVuWxmHZTT4gq9b9++kbRso8oHPaelBtdsx3nnnQdg2C+z4rRqMi2vp6SclraZz4jTYv37cFqqF6cckspMfdgkMi1yWqpfWOO07r3Xu7xbOXLSSiQSc4WctBKJxNxgQieAJxwnXOXhueeeC80XakJKsvdkgb2/IGXJubVjGp+W2xEVaLJcFSb7MplXn5HfLoap0XZUJw3jcxpBfHQzi9Jl3ZjWm/EwbMuWLcviIsPsgwcPLqPPuuhYRSoDpMex06N9/1vVFtgOxvs2sw4cI+bVcY62h7Vx8PVXxdM+gvhp/GnxAEHFGr5PfPtnNdkkp5VIJOYKOWl1OP3003HZZZeFgvjaKsTVjqoEXlDr6QJDQTyNTC+77LKlNBTE6+qtgvjIc+lNN90EANi9e+CX7P777wcwVKl42ctetpSH9VSDaQpwX/rSl46kVZWHliCe6OO5lP3McvT4n31BoTsw5LDYVlV58GO2devWZW2lAjAF8eyfSBCvnktbgvhxnJZXQ2DYJCoP/M1+UiF+H0H8JJwW6xQJ4gnGsS9bBtOe07rjjjtGaK0EOWklEom5Qk5aHRYXF7Fhw4aRI1//W+PU7CNalbhSksvgaujdwDCs5pqmZiwLAE8++eSyJ1drchqRuxnltLjaRmn5ZFxNmRIYVXlouaYhVHWAXIdyUb7ejGNbmcdzNeRoyTVRjsQ0fE57w7S2lWkj42RViq3dBeD7SY2rdRwmcU0TcVrTmPGwPH4jrJOnP4mReR+kcmkikZg75Olhh1IKnn/++RVxWpERNKGrdR+DaeXYGB+ddKliohpmexmUno4pdxDVSelMolyqnFbUP2oArGl9Hq2vGj9HDufU5UprrHQcaobBwJCDHsdp+XL0RFGVPKNyat9PxGkx7kRxWrXv1rfLtz8NphOJxCmJnLQ6HDt2DM8+++xEp4dc4fXOQQ9yAzwBVANYYCir0RWL5UanhyyTchY+KcOJ6sQwXXF5MuXNbJiWZZNOzb2wh54eqh4SMGpEzTbzqfc5+jzsf8ql2KeRTpp+4OxDPbUERjkVlqMcqm+bckuqo+brRA5KTZdII3LFzfqp3l3EaeldiHp62Mfdcu0UMeoXlbedCD2tlGklEom5Q05aiURirpCTVocjR47gkUcemUq59MCBA0t59IYeXo+ufpFYNrAyf1oXXnjhsidVHW655RYAwAUXXLCUR/1p8UmTF99m9acV+WH34b7Ns/CnRe8VPg/ryTZSrYHbN7/9ZH5VLq15fPVxNeVSX5e+yqUcdx+mfTmJPy31i++3XH4r6stjO9QMx+dfiRlPzeOu/ya8ID4SJawEeXqYSCTmBinTcjh+/DgOHTo00b2HLYNpzUshN1dMn5YrpK7eajzsV0jmqfnIahlB663UpO+FppqfcX3MeGoqD56+GmvXjIf94QDD2EZyROo3yqdhmapYy/BIZYD1bqk8jLv3kGl9/2uYCrtZJ9+n5LpqBtO+/uozv4/KQ82Mh+ERd8Q4VYpNg+nktBKJRICctDocP368qvIwzkd8JKvh6kOOiMa+XNG8/EFdrOjxcyTTYhi9R9KYl7KbSGWAv/VWFtbfu4HR/OR4Zu0jXo/wtY/JTXl6bCPrFJmHMI2qHpAbYV0iRcia7MarPPSVafk2k/NhP6uaB9NGMi3WX9UlPPfilWt9HV4s1zR676G2B1gu00pOK5FInHJIJ4AOR48exeOPP76i00OuLN7HOldlciJ048HV8PHHHx9Jq4an6i89ck3zqle9CsDQvQ3L4arty+FJncrBeMLlORam5QqvdSNayqV6o3CkKMpy9CRN2wMM+4FhVC7VE0EfRs5ET3F58hidHvKpnJbnKjmOtbsLGR+dHhJ6FyPH1HNM5K558kuwXM91KEel9x5G33bNf3wfTovvLZmWl+lFvulXguS0EonEXCEnrQ6HDx/Gnj17wltUuEIyjE9yLJSfeN0rvb2ZMi1yFnfeeedS2gceeGBZHnVZEhkE8zed2V166aUAhk7zGE7aQN0JIPWfPCekZi6TmPFwRdWPy8unuDqzzygfYVt5L6G/TYirNtumnJbnRsi9kDtj/clhfec731mWzpfNcVXDeO+apq9My3NXajal3CW/DT/OapjNvC+WE8A+nBbzkDPse3o4K+SklUgk5go5aXUwM6xbt24iTovyBtWRUro+DVdtL0shF6AXBqhcxstUuOpr2arp7U9vlG4rXLXD1SUKEX1A6lxQ+yAKI0eh4T6P6gf5OGD5Cs84NfJluLq18WHqCijqnxqnVZNlAqMnx8qRspzoRJPc3ySuaabhtPju/w/4v8Gx0lPViNPynOwsNOJTuTSRSMwdVvPp4cLJrkAikVh9ILc17q8PzGy7mX3LzO4zsx2NdP/YzIqZXdmi14vTMrMNAD4B4BUACoD3APgWgD8FcCmA7wB4eynlYIsOPZdOsj3Uo+Xojjv1bqrvLNuXo1tI9Ybpw/hUMxv1bAqMF8RTSA0MWXzSYRzbRUQsv25TCC+U5paCW+w+3mBr3l9XkpblTCuIVzUG9XXv60R67Pc+gnj9BqhErIq7Pu2LJYjXO0Gp2KzbQ98nq1kQb2aLAD4G4McA7AVwq5ndWEq5R9KdDeCDAHaNo9mX07oewJdLKT8I4IcA3AtgB4CvllIuB/DV7j2RSMw5+nJZPSe21wK4r5Syu5RyGMANAK4O0v1rAB8BMOqjWzCW0zKz9QB+FMC1XYMOAzhsZlcDeEOX7DMAbgHw6y1aCwsLOOOMM0JOSzksriTkEiisjo70mYdxXI0iQ2B2NDkhFcJ6rkZvlNY66E3TEV2unEzrVR6Uu6jdMB1xT3qbDcN9/2g72Jekp+2L6DAu4jqYpuanXgXbPkxvpY76siaIp5Ca4Z575dhTVYBQo/rIDKY2Dl6Bt+aaZiWcln6/Pox0VfE48nbqD6civ/wrwQSc1kYzu8297yyl7HTvWwE85N73ArjKEzCz1wC4uJRyk5n96rgC+2wPtwHYD+DTZvZDAG7HgI3bXEp5tEvzXQCbo8xmdh2A67rfPYpLJBInGxNMWgdKKU0ZVAtmtgDgD9AxRX3QZ9JaA+A1AH6+lLLLzK6HbAVLKcXMwlZ2s+5OAFhYWCiR72xguHLoLTYt39uaV59RWXwq59BaIWsmGkorqh/jSNcbZGvZeg9ijWZUJ/aXr/+4PtSnT1NLG5leKf3WODBMfdtreJ/+aI2ZOs2ruZCJ6Gq5/h9YXfRo3Yjon17zRHXRhZ3lKQdW+z+aFWZI82EAF7v3i7ow4mwMZOW3dG28AMCNZvbWUorn4JbQR6a1F8DeUgoFZJ/HYBJ7zMy2AED33DdBQxKJxCrFjGVatwK43My2mdlpAK4BcKMr66lSysZSyqWllEsB/DWA6oQF9OC0SinfNbOHzOwHSinfAvAmAPd0f+8C8Hvd84s9aOXpYZ4eAsjTw+jp036/nB6WUo6a2QcAfAXAIoBPlVLuNrMPA7itlHJjm8Io+iqX/jyAz3Yz5W4A78aAS/ucmb0XwIMA3j5p4YlEYnVilhrxpZSbAdwsYR+qpH3DOHq9Jq1Syt8CiIRtb+qTn1hYWMCZZ565otNDrsBcBYFRToJxXNF8Wq7kXMnUdIb0PVejTv/4ruH333//Uh6ly5WRab3BMVdTxkVO84DlDuvYZuZROUx0usq07CfS0/YAw37XNqpsxddX45Rr8pyQntCp08HoYgt1Xc12sO00YgaGfUd3QWwr6bIcf3rIMdcxUrcwUZzuCFSe59OqSZF+474s9gvL09NDXyc/5rPiutKMJ5FIzA3SCWAikZg7JKfVwcywZs2apiC+JpDXp0ctrxdW6hamRtez9TV6Gu5ZdU1Ldp6C58gzJ5+RkLXWZt2W6JF41NZx7Wm1UX2Vt+hNQp/0Wr6x/PbY02d85L9e6Wnf+n/K2s066hXDx+k/dR9BvB4qRW3W7WFNRSMSrWhdp0FOWolEYq6Qk1aHUgoOHz48olgIDFcLVbgkyLF4QTlXFb2hJEqrvpH4ZHjkj1xvGq7R96ubpqWQle+ea6DQlHmYtuW5tKZ8q4cStfxRu3x8rY16k0+UpjYOvk+VA1VOy/+zqLmOQu8R9PXT8dVyozy1cfDjq/7FplF5YLhvs3LMtdt4/Jh5Ti1v40kkEqcc0glgAOUWJkkzyZ7dp1Wj3knqMC4+WimJ1uBrHZQL7FOPVjtq+Sbp0z79NEv0+Wfp02Y1menTp9F49q2njl0kM9Nn1I5aP7fq3yf/pMjTw0QiMVdITquDyrT8vr+mpEfw1C0yaVG5S5RWZVoqC1K5TES3Vk5kpkI5g95Y481UmDai4+HrVDu1Ut/iUdu0XS3ZH59qmtNKW+v/SObHerL+Kk8CRk9NtT3RPZGUF6kskbKoSDbHclhvlQv6PmfcNMql+v1HMkumYb3ViNvX359Ip0wrkUicckiZlmBxcXHkxMj/runxcEXzekJ60qJ6QpGbEzWh0FO9SE9rnG5RlEedtUVpuSpqnHKZHlq2ykUinSXNU3uP2qq6ZK20NT2t6DYe9o/extNyk6NciPYfMHpqqBxQ5NpF3QZpHv8PrGNTc88TuY6pue7x9VeOSusQfSOeI01OK5FInJJIQbyDmY24IwFGVx2991D1ekjL02Fauh954oknltKqa2DKBGgYTANebzz85JNPLqPDJ93M8N3fu0cDV9Khi5ooLetLY95NmzYBaOtpKSdBDpHhvs2EynnUBYtfqSl7oxEyx4V5vLthlsW+YzsYzrH0bVY3PErfGz/3vWHat5lhvFVbXdPQDbPXt2L7WX/mVW5N6+fLm/UN00xL1zQqy6rdMK3G9itBbg8TicTcISetRCIxV8hJy+HYsWOhMLGv8W3LeLiVVo+blTWP6lQT9Ct97y+qRi+iX6uDsvjR8bkKfPWAoVX/lhF6zYB5EuPq1sFCzZSl1nYfplv7qM21LZgaQ0cKmbVtWySI13/qmkDep+0z3rU7C5RG9B1F9VopctJKJBJzhZy0OpgZTj/99Kk8l55//vnL6AFDgSkFqKTBdwA4cOAAgKEAU4Wv0b2HzF97si7f+MY3lvKQDgXyFFxTEMx6+LqwbYzr47lUVQRankspcFdBvLbH159h69evBzAU9vo79thXFMT7uKgPgKEAnAJxVaKkx1FgvOdSHXdgvOfSPvcechwiz6XKfc3Cc2k0vgxjXVqeS32/14zLJ0E6AUwkEnOH5LQ6lFJw5MiR0IhVV1M1s4mOemuuadTViP9dKydyWTLO5U3kbqamNKmuaoChqobSqbnl8W1eiWuaWn+1XNO0+nRcWn3XtkRpfV+SE1GzHe3jyM2MurXRcYhMo3SM9F4BrZ+vo3K8kbuYmuzM/x+ocmnkfNHnrbVlWuSklUgk5go5aXVYWFjA6aefHp7u1U6guELyqU7YPFpp+Zurnq6YzONlBUpP6erdesBQfsRBV3mJP2lkHUiHyqzqXiRqsxruqqzLhzG/cmFRPymHqGX7FZ5p1Bmf9pf/B9A8HG+G+9t4ai6SWSfS8G1WWSXjyDVRqdVzQmpUTeXh6AYi0qm5aO6jXKry2kimRc6K7dAbxH0eP0apXJpIJE5J5KTV4dixY3j66acnumFab0f2K4zeMM2TM5rx8IQKGHI4zMPTMK5S0c3DzK/09OndzTAtT3QYx9WbpjrA8HSNdHhS1zLj0fbox+VXWnVqx75jf0UmLTwJZBxpsDx/byPTsC/JFWi/eU6IYXrDNMOjG6bHmfH4cSY9PSUkhxWNM/ulNg6+jxk3yxumo5vQmad2w7TvE7ZplsjTw0QiMVdITqtD6wqxmp4WV0HlvDxUThXpv9TkCqq35Vcwckt6jZbWyXM3NboRfU0TraJKX7mmPk4Atf7aXz6PhqnWu+9/PaHTfon6R/tBr9Vqneopt8G8nlOsnZAqJx/JfrQOfPp/YA2rabBPohHvuRodM3UUEJ3IRhYB0yBlWolEYu6Qk1YikZgr5KTVwcywdu3aiQTxui2JvDzqFoNpo+2nbo0oBI08Z9a2hboN8lsapatbJ5+WrDy3oRHr79vpoVs9Nf+I0urWKDKY1jarN09ff02r/a99AQy3cj7Mh0e+w7Q/VM0gumFZDyoi5VWC9FWFJVL+1K27bg8nEcSr2oSvf+1+yEiEEKmsTIsUxCcSiblByrQcjh8/jueffz707V3jsPSGmkjRkqszj9x5LO8VFZUT4UpFNQke23tBs9LTJ+O9t1M9ulfPpV7lQcthnPfo6usKjCqttu5MVJMfNU9hud7ImioPbKNyLoz3+RlGw2jm5bhQ/cDTYf/wW9BwYPgtqBmSeqqNFFJJRxVHqdbguRvGkQ4N4SOVB1UeXonBtArio/Fl2eq5NOLG/ZikGU8ikTglkZNWh8XFRZxzzjkzc01DcPWhixJyUz4tXZWomQpX+Eixk77N1RWNunTZs2fPUh6uxOpTnfS9axq2kXQZp44OI4Va0pu1axqu2uqaJvIR39c1jZdfqU9+1pvhXnlVb8lR1zRse+Sahn3JtFTuZXsi1ROOA78V5vVmPOq2ZhJOS/NEuwk141HXNIT/Rjx36rnOabCaJ61RCW8ikTjlQbnWuL8+MLPtZvYtM7vPzHYE8b9sZveY2Z1m9lUzu6RFrxenZWa/BODnABQAdwF4N4AtAG4AcD6A2wG8s5Qyam/ioDdMR3fDRfIuIHajok4Aa09g1NBVbzZW+YnPU7uRuXWDst6YHN2gTDlaLS0RyamIPqeHKhfUm6C9DG1cX/a5YbrWT8DordDqisW3lW2JzJiA+IZmPZnTG7+jm8TV7Y6Og+9zL7/0dFdyethSLtWdhsq0fJsjNzjTYJZOAM1sEcDHAPwYgL0AbjWzG0sp97hkdwC4spTynJn9MwD/BsBP1WiO5bTMbCuAX+iIvgLAIoBrAHwEwEdLKS8HcBDAe1fWrEQisdowQ07rtQDuK6Xs7piaGwBcLWV9rZTC04S/BnBRi2BfmdYaAGeY2REALwHwKIA3AvjpLv4zAH4bwMfHEfKN9Y3WlUq5MeWQojSaNnIyWEsT0a+lqTkqjNLo6Z6XTdTSKjfVcpaoH070IdV0iVrjMK7tUdpxeaO21vrA/671R2vMak4SW3WqjUOL09W0UZ1rcbUxbNVFb56u5Z8WE9DcaGa3ufedpZSd7n0rgIfc+14AVzXovRfA/2gVOHbSKqU8bGa/D2APgEMA/hyD7eCTpRSeu+7tKjcCM7sOwHXd73HFJRKJVYAJJq0DpZQrZ1Gmmf0sgCsB/MNWuj7bw3MxYOe2AbgQwJkAtvetSCllZynlylLKlTlpJRKrH323hj0ntocBXOzeL+rClsHM3gzgXwB4aynlBY336LM9fDOAB0op+zviXwDwegAbzGxNx22FFVEsLi5iw4YNE5nxUBhLf0j+WnL1p8U4VQsARj0DqIkJFSC9UJr5SZdPDfeCbgpqKWQnfSoJ7tu3bykt8/PIev/+/QCWqy0AsWcLNTvigqB5fX21zdouX5a2lXm8oF9vGtLjf9KIzHiYl+PO8EjlQRWK1cear78Ku9WHWEvlgWNHNQO++8XW++4CRkUUKkj3aVTFITKj0vxUSlZ/cl5h16uaeJWaaTDDLeetAC43s20YzBHXYChWAgCY2asB/CcA20sp+0ZJLEcflYc9AF5nZi+xQY++CcA9AL4G4G1dmncB+GLfViQSidWN48eP9/obh46p+QCArwC4F8DnSil3m9mHzeytXbJ/C+AsAP/NzP7WzG5s0ewj09plZp8H8HUARzE4ntwJ4CYAN5jZ73RhnxzbAtQF8VE6j6iDap3WZ5UYJ9BupW2VVxOMt4Stk9DvI8Bu5e8b30cQX8vf50BkXDl90rbaMkk5k9BXTHJ4UiuvT1zr/SQL4vvQuhnAzRL2Iff7zZPQ63V6WEr5LQC/JcG7MTjOTCQS30eYQF51UnDCbQ9rnkvVQ6bu96P9P6EKqa3bftQzpD79UbLWc1wdo7S1vK06qGJt1GaVH0WyFG1rnzqNa2OUdhr6Ku+J2lrrD/VCG6Wp1SniVGpt9VwU66u346iSbEumVXt6upqn1U+RTGxa5KSVSCTmCjlpOXhOxv9WZUA1cdCnRy1Ny0yoZnYRKSqOq0tksjGuHX3roPR1hVeZVsQpKjdQUzJt1SmqWy1uknFohdfq2aJfq8sk46BPz71oWGSSpnnGKbxGZjy1ukXKpS+Gw750AphIJOYGKdNyKKVUV5XaCty6uVdXqhYHpJzJOC6hFdeH++jDddTo6I0qkcyjxg34j03pT3Ibcp8+Hcf5rITTatVl3NhFdGrcZcugWelGJjmEuoyJOBTljvTEMeKOlV6f7wiY3bYuJ61EIjFXyEnL4dixYxMZx9bcefi0ukJGaWucieadZAWO8tTo9ZEJrUSm1ZJ1jGuH9tes6q/93+qfGvfUJ22Lo9aTxdY4j2uz/yb19DE6YfR182lrctuWEX1tnH15yWklEolTHjlpJRKJuYHKnlcbToogPhIaK8tcM1eJlAJrAtvWUb6mWclReJ866XtrK6BpNV0f+tFBxziBtkffforS9qnTOEH8tGM2Lk2rnFreSLmUaca9t+oyicpDbdz196yQnFYikZgr5KTl4AXxEbjSUJirglQvNB4nTPdp1Xe4lrMSAa3eYxfR0zp69QXNr3UiPHdWE8RHx+daDstWNz0tQbzWcRKh/UqE656+ct9M2xqzWp/2OXzQb6QliNd3LSdS54nGRtNGnJovJ6Lv25KC+EQiccohlUsdSik4evToiAJdBOUKopVeOZNWWl1FNbyVR2/1ra3mURwVOvUdGDqm0zi9fSZqc835nHJpPqxPn45rc8TVjOufiD6fbEc0Ptp3Kjfqw1GPa3sUpuX68dWbjfQ2nkhO1VJhUajhNevSumE6GvNpkZNWIpGYK+TpYYdSSlW5tIaWwihRW9kjWUptRWyt2pqGq10kp1L5i67w0b2HSkflJlGbayt8xJWp7KrVpzV5kbbdp1X6fbgzlQEpR9RqYx/5VK3fozqpDEvlRxH3V1MujWSLte+8Jf9STktP0/04pHJpIpE4pZEyLYdSCo4cOdLUZdF35SD8CkPUVviIKyA9xvGiAL77eigd5bCUBjC8xEEv5uBFDv5CAi2bFzgoa+7boSttH5kW02rbW/2kbda2+7SUwdXGwcvxNEy5NM+JqskM68/ylJvyv9m3zKuXevg+Zl3YRr00JOK0tI4t05xI38u/t2SW/F5acuDo+5gWOWklEom5Qk5aiURirpCCeAe/X462h32fwHhTnyit5ql5k/Rh4+i3vFTWymvF6VYgEuRGbYze+9S/zzZ9mrStrVKr/2vXyWs/RXXSNCsZh6jfa1u8Vp00rqau4vPV6hLVbdZcUcq0EonE3CEnLYea0p0e/9ZUErwgWJUMVa3B09dVjsJLffeC1pq3y5qPI2D0KFxX1eiWFq2LclqREFaVKCMj6HF+9/v4yNI+iNQLxvWPP6hgW1WtQ/vA/9a02k++zVpmjbuJbmqigF/L9f/AGlYTkLc4Xq1T9P3o96K3LUVG4rNETlqJRGKukJNWh8XFRaxfv75576HePccV85xzzgEAnHvuuUt5SIfmMIwjrQ0bNiyl1dX/zDPPBDA8Amde0gKA9evXL4s777zzlj1J/4EHHljKwzAqjh48eHAZjSeeeGIpLdvGuAMHDiwLJ7waAHH22Wcvaw9X4rPOOmskLftOj/1Zru9THvezjewD5vF1YRhVNVTN4KmnnlqWzpdFFRCOFcOfeeaZpbQcM+0Plsd4X3+GaV8+++yzy9J6NQH+1nFgW738yI+fr38fH/SEfuNeDUY5Kn4/ugPxfeK/c99/0yAnrUQiMTcoJZ0ALoOZhXt5PeXRFSe6QVnzKo1IfjQuT586Kf0oTy2vX8H61CF6j9JGp0q1ky3t01aba3VspW2ddI1LG5009nW8F4X1KacmY2r5Y9dyWrfl1OScUV1qfVejob9nheS0EonEXCEnLYejR49O5DJWXZd4WUTNLCVKG5np+HDKCPzp2DiXK2riEuXR+ns5nubX00Rtp/+9Etc0NfcmkRmPmui0XKL0dVETpVVTnMhMS8P6uKbRPJq2Zbqk5XpORuVrtVPiiGNU86/omx+3w4jG139TacaTSCROOaRyqQMNpiO5lOob6YoVrfREzbi35WZGwyOuaZzxcORORfPwNC4yrn7uueeW5ak5AYy4y5oWd4sT1TpGnFDNQDriRpQLwl+TXwAABY5JREFUG/cERt2+1PSRov6ouciO3LRoWjVOb3HUWq4/CeRJH/u9dmt3y0qixVWqbp3qmxE1J4DJaSUSiVMSeXqYSCTmCslpdTh+/DgOHToUKpeqwp0q7TEPlTY9yMYzTp/AqDCacdy+8d1v9ZQOt3P67pUDqdxHBcgzzjgDwFBJcOPGjSN1Ih0qgdZMXIDhx8Q6tIytGaZbGCrQRv2kYVSwpIKoT6thfNd+8n7VGcZ+4fgynEq/vt66dWT9GR+NM+mrr7Knn356GU0fx3pTQTcy4yFd3R62zM3UX31re6tiEiqO6v+M3xJG/xPTYLXLtGav4JFIJOYenLjG/fWBmW03s2+Z2X1mtiOIP93M/rSL32Vml7bo5aSVSCRGMKtJy8wWAXwMwI8DuALAO8zsCkn2XgAHSykvB/BRAB9p0cxJK5FIjOD48eO9/nrgtQDuK6XsLqUcBnADgKslzdUAPtP9/jyAN1nj1hs7kXtXM9sP4HsADpywQqfDRsxPXYH5qu881RWYn/peUkrZNA0BM/syBu3tg3UAnnfvO0spOx2ttwHYXkr5ue79nQCuKqV8wKX5Zpdmb/d+f5cm7O8Trae1ycxuK6VceSLLXSnmqa7AfNV3nuoKzF99p0EpZfvJrkMLuT1MJBIvJh4GcLF7v6gLC9OY2RoA6wE8XiOYk1YikXgxcSuAy81sm5mdBuAaADdKmhsBvKv7/TYAf1kacquToVy6c3ySVYN5qiswX/Wdp7oC81ffVYFSylEz+wCArwBYBPCpUsrdZvZhALeVUm4E8EkAf2xm9wF4AoOJrYoTKohPJBKJaZHbw0QiMVfISSuRSMwVTtikNU6V/2TDzC42s6+Z2T1mdreZfbALP8/M/sLMvt09zx1H60TBzBbN7A4z+1L3vq0zg7ivM4sYvRHjJMHMNpjZ583s/5rZvWb2w6u1b83sl7pv4Jtm9idmtm419+2phhMyafVU5T/ZOArgV0opVwB4HYD3d3XcAeCrpZTLAXy1e18t+CCAe937RwB8tDOHOIiBecRqwfUAvlxK+UEAP4RBvVdd35rZVgC/AODKUsorMBAeX4PV3benFE4Up9VHlf+kopTyaCnl693vZzD4p9qK5SYGnwHwj05ODZfDzC4C8JMAPtG9G4A3YmAGAayuuq4H8KMYnBKhlHK4lPIkVmnfYnCqfkanM/QSAI9ilfbtqYgTNWltBfCQe9/bha1KdFbmrwawC8DmUsqjXdR3AWw+SdVS/CGAXwNAA7DzATxZSqHPktXUx9sA7Afw6W47+wkzOxOrsG9LKQ8D+H0AezCYrJ4CcDtWb9+eckhBvMDMzgLwZwB+sZTytI/rFN5Ouo6Imb0FwL5Syu0nuy49sQbAawB8vJTyagzsT5dtBVdR356LAQe4DcCFAM4EsKrNWk41nKhJq48q/0mHma3FYML6bCnlC13wY2a2pYvfAmDfyaqfw+sBvNXMvoPBVvuNGMiMNnRbGmB19fFeAHtLKbu6989jMImtxr59M4AHSin7SylHAHwBg/5erX17yuFETVp9VPlPKjqZ0CcB3FtK+QMX5U0M3gXgiye6bopSym+UUi4qpVyKQV/+ZSnlZwB8DQMzCGCV1BUASinfBfCQmf1AF/QmAPdgFfYtBtvC15nZS7pvgnVdlX17KuKEacSb2U9gIIehKv/vnpCCe8LM/gGA/wngLgzlRL+JgVzrcwD+DoAHAby9lPLESalkADN7A4B/Xkp5i5ldhgHndR6AOwD8bCnlhZNZP8LM/j4GhwanAdgN4N0YLJqrrm/N7F8B+CkMTpTvAPBzGMiwVmXfnmpIM55EIjFXSEF8IpGYK+SklUgk5go5aSUSiblCTlqJRGKukJNWIpGYK+SklUgk5go5aSUSibnC/wdKF55Eo0KIhQAAAABJRU5ErkJggg==\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "**One Heartbeat**"
      ],
      "metadata": {
        "id": "U6H7M5S8Nxgl"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "x_example_lead2 = x_example[0][:,1]\n",
        "x_example_lead2 = x_example_lead2[:100]\n",
        "x_example_lead2.shape\n",
        "\n",
        "x_example_lead2 = (x_example_lead2 -min(x_example_lead2)) / max(x_example_lead2-min(x_example_lead2))\n",
        "\n",
        "x_gaf = gaf.fit_transform(x_example_lead2.reshape(1,-1))\n",
        "mtf = get_mtf(x_example_lead2)\n",
        "rp = recurrence_plot(x_example_lead2, steps=10)\n",
        "\n",
        "plt.rcParams[\"figure.figsize\"] = (15,3)\n",
        "\n",
        "f, (ax1, ax2, ax3) = plt.subplots(1,3)\n",
        "ax1.imshow(x_gaf[0], cmap='gray')\n",
        "ax1.set_title('Gramian Angular Field')\n",
        "ax2.imshow(mtf, cmap='gray')\n",
        "ax2.set_title('Markov Transition Field')\n",
        "ax3.imshow(rp, cmap='gray')\n",
        "ax3.set_title('Recurrence Plot')"
      ],
      "metadata": {
        "id": "KSf1vUHjN0cc",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 263
        },
        "outputId": "2a4ae13d-8a8f-4fbd-a165-76f2332c6b90"
      },
      "execution_count": 65,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/ipykernel_launcher.py:30: RuntimeWarning: invalid value encountered in true_divide\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Recurrence Plot')"
            ]
          },
          "metadata": {},
          "execution_count": 65
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1080x216 with 3 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from pyts.image import GramianAngularField\n",
        "\n",
        "#plot based on https://pyts.readthedocs.io/en/stable/auto_examples/image/plot_single_gaf.html#sphx-glr-auto-examples-image-plot-single-gaf-py\n",
        "\n",
        "# ECG signal (first 100 points)\n",
        "x = x_example_lead1\n",
        "X = x.reshape(1,-1)\n",
        "time_points = np.arange(0,100)\n",
        "\n",
        "# Compute Gramian angular fields\n",
        "gasf = GramianAngularField(method='summation')\n",
        "X_gasf = gasf.fit_transform(X)\n",
        "\n",
        "\n",
        "# Plot the time series and its recurrence plot\n",
        "width_ratios = (2, 7, 0.5, 1.5, 7, 0.5, 1.5, 7, 0.5)\n",
        "height_ratios = (2, 7)\n",
        "width = 10\n",
        "height = width * sum(height_ratios) / sum(width_ratios)\n",
        "fig = plt.figure(figsize=(width, height))\n",
        "gs = fig.add_gridspec(2, 9,  width_ratios=width_ratios,\n",
        "                      height_ratios=height_ratios,\n",
        "                      left=0.1, right=0.9, bottom=0.1, top=0.9,\n",
        "                      wspace=0.1, hspace=0.1)\n",
        "\n",
        "# Define the ticks and their labels for both axes\n",
        "time_ticks = np.linspace(0, 100, 6)\n",
        "time_ticklabels = [r'$0$', r'$20$', r'$40$', \n",
        "                   r'$60$', r'$80$', r'$100$']\n",
        "value_ticks = [0, 0.5, 1]\n",
        "reversed_value_ticks = value_ticks[::-1]\n",
        "\n",
        "# Plot the time series on the left with inverted axes\n",
        "ax_left = fig.add_subplot(gs[1, 0])\n",
        "ax_left.plot(x, time_points)\n",
        "ax_left.set_xticks(reversed_value_ticks)\n",
        "ax_left.set_xticklabels(reversed_value_ticks, rotation=90)\n",
        "ax_left.set_yticks(time_ticks)\n",
        "ax_left.set_yticklabels(time_ticklabels, rotation=90)\n",
        "ax_left.set_ylim((0, 100))\n",
        "ax_left.invert_xaxis()\n",
        "\n",
        "# Plot the time series on the top\n",
        "ax_top1 = fig.add_subplot(gs[0, 1])\n",
        "ax_top1.plot(time_points, x)\n",
        "ax_top1.set_xticks(time_ticks)\n",
        "ax_top1.set_xticklabels(time_ticklabels)\n",
        "ax_top1.set_yticks(value_ticks)\n",
        "ax_top1.xaxis.tick_top()\n",
        "ax_top1.set_xlim((0, 100))\n",
        "ax_top1.set_yticklabels(value_ticks)\n",
        "\n",
        "\n",
        "# Plot the Gramian angular fields on the bottom right\n",
        "ax_gasf = fig.add_subplot(gs[1, 1])\n",
        "im = ax_gasf.imshow(X_gasf[0], cmap='gray', origin = 'lower',\n",
        "               extent=[0,100, 0,100])\n",
        "ax_gasf.set_xticks([])\n",
        "ax_gasf.set_yticks([])\n",
        "ax_gasf.set_title('Gramian Angular Field', y=-0.25)\n",
        "\n",
        "\n",
        "# Add colorbar\n",
        "ax_cbar = fig.add_subplot(gs[1, 2])\n",
        "fig.colorbar(im, cax=ax_cbar)\n",
        "\n",
        "\n",
        "# Plot the time series on the top\n",
        "ax_top2 = fig.add_subplot(gs[0, 4])\n",
        "ax_top2.plot(time_points, x)\n",
        "ax_top2.set_xticks(time_ticks)\n",
        "ax_top2.set_xticklabels(time_ticklabels)\n",
        "ax_top2.set_yticks(value_ticks)\n",
        "ax_top2.xaxis.tick_top()\n",
        "ax_top2.set_xlim((0, 100))\n",
        "ax_top2.set_yticklabels(value_ticks)\n",
        "\n",
        "\n",
        "# Plot the Recurrence plot on the bottom middle\n",
        "ax_gasf = fig.add_subplot(gs[1, 4])\n",
        "im = ax_gasf.imshow(rp, cmap='gray', origin = 'lower',\n",
        "               extent=[0,100, 0,100])\n",
        "ax_gasf.set_xticks([])\n",
        "ax_gasf.set_yticks([])\n",
        "ax_gasf.set_title('Recurrence Plot', y=-0.25)\n",
        "\n",
        "\n",
        "# Add colorbar\n",
        "ax_cbar = fig.add_subplot(gs[1, 5])\n",
        "fig.colorbar(im, cax=ax_cbar)\n",
        "\n",
        "\n",
        "# Plot the time series on the top\n",
        "ax_top3 = fig.add_subplot(gs[0, 7])\n",
        "ax_top3.plot(time_points, x)\n",
        "ax_top3.set_xticks(time_ticks)\n",
        "ax_top3.set_xticklabels(time_ticklabels)\n",
        "ax_top3.set_yticks(value_ticks)\n",
        "ax_top3.xaxis.tick_top()\n",
        "ax_top3.set_xlim((0, 100))\n",
        "ax_top3.set_yticklabels(value_ticks)\n",
        "\n",
        "\n",
        "# Plot the Recurrence plot on the bottom middle\n",
        "ax_gasf = fig.add_subplot(gs[1, 7])\n",
        "im = ax_gasf.imshow(mtf, cmap='gray', origin = 'lower',\n",
        "               extent=[0,100, 0,100])\n",
        "ax_gasf.set_xticks([])\n",
        "ax_gasf.set_yticks([])\n",
        "ax_gasf.set_title('Markov Transition Field', y=-0.25)\n",
        "\n",
        "\n",
        "# Add colorbar\n",
        "ax_cbar = fig.add_subplot(gs[1, 8])\n",
        "fig.colorbar(im, cax=ax_cbar)\n",
        "\n",
        "\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 267
        },
        "id": "sY51U3-KFNPI",
        "outputId": "1bb3af24-1413-4b10-9185-7deb055cfa3f"
      },
      "execution_count": 66,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x235.636 with 10 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "**Entire Signal**"
      ],
      "metadata": {
        "id": "V_5VVw9GN2iw"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "x_example_lead2 = x_example[0][:,1]\n",
        "x_example_lead2.shape\n",
        "\n",
        "x_example_lead2 = (x_example_lead2 -min(x_example_lead2)) / max(x_example_lead2-min(x_example_lead2))\n",
        "\n",
        "x_gaf = gaf.fit_transform(x_example_lead2.reshape(1,-1))\n",
        "mtf = get_mtf(x_example_lead2)\n",
        "rp = recurrence_plot(x_example_lead2, steps=10)\n",
        "\n",
        "plt.rcParams[\"figure.figsize\"] = (15,3)\n",
        "\n",
        "f, (ax1, ax2, ax3) = plt.subplots(1,3)\n",
        "ax1.imshow(x_gaf[0], cmap='gray')\n",
        "ax1.set_title('Gramian Angular Field')\n",
        "ax2.imshow(mtf, cmap='gray')\n",
        "ax2.set_title('Markov Transition Field')\n",
        "ax3.imshow(rp, cmap='gray')\n",
        "ax3.set_title('Recurrence Plot')"
      ],
      "metadata": {
        "id": "9JGFTXbCN5Bb",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 245
        },
        "outputId": "c0d7f6db-85a4-4bf1-981b-7279934722b6"
      },
      "execution_count": 67,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Recurrence Plot')"
            ]
          },
          "metadata": {},
          "execution_count": 67
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1080x216 with 3 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from pyts.image import GramianAngularField\n",
        "\n",
        "#plot based on https://pyts.readthedocs.io/en/stable/auto_examples/image/plot_single_gaf.html#sphx-glr-auto-examples-image-plot-single-gaf-py\n",
        "\n",
        "# ECG signal (first 100 points)\n",
        "x = x_example[0][:,0]\n",
        "X = x.reshape(1,-1)\n",
        "time_points = np.arange(0,1000)\n",
        "\n",
        "# Compute Gramian angular fields\n",
        "gasf = GramianAngularField(method='summation')\n",
        "X_gasf = gasf.fit_transform(X)\n",
        "\n",
        "\n",
        "# Plot the time series and its recurrence plot\n",
        "width_ratios = (2, 7, 0.5, 1.5, 7, 0.5, 1.5, 7, 0.5)\n",
        "height_ratios = (2, 7)\n",
        "width = 10\n",
        "height = width * sum(height_ratios) / sum(width_ratios)\n",
        "fig = plt.figure(figsize=(width, height))\n",
        "gs = fig.add_gridspec(2, 9,  width_ratios=width_ratios,\n",
        "                      height_ratios=height_ratios,\n",
        "                      left=0.1, right=0.9, bottom=0.1, top=0.9,\n",
        "                      wspace=0.1, hspace=0.1)\n",
        "\n",
        "# Define the ticks and their labels for both axes\n",
        "time_ticks = np.linspace(0, 1000, 4)\n",
        "time_ticklabels = [r'$0$',  r'$400$', \n",
        "                   r'$800$', r'$1000$']\n",
        "value_ticks = [0, 0.5, 1]\n",
        "reversed_value_ticks = value_ticks[::-1]\n",
        "\n",
        "# Plot the time series on the left with inverted axes\n",
        "ax_left = fig.add_subplot(gs[1, 0])\n",
        "ax_left.plot(x, time_points)\n",
        "ax_left.set_xticks(reversed_value_ticks)\n",
        "ax_left.set_xticklabels(reversed_value_ticks, rotation=90)\n",
        "ax_left.set_yticks(time_ticks)\n",
        "ax_left.set_yticklabels(time_ticklabels, rotation=90)\n",
        "ax_left.set_ylim((0, 1000))\n",
        "ax_left.invert_xaxis()\n",
        "\n",
        "# Plot the time series on the top\n",
        "ax_top1 = fig.add_subplot(gs[0, 1])\n",
        "ax_top1.plot(time_points, x)\n",
        "ax_top1.set_xticks(time_ticks)\n",
        "ax_top1.set_xticklabels(time_ticklabels)\n",
        "ax_top1.set_yticks(value_ticks)\n",
        "ax_top1.xaxis.tick_top()\n",
        "ax_top1.set_xlim((0, 1000))\n",
        "ax_top1.set_yticklabels(value_ticks)\n",
        "\n",
        "\n",
        "# Plot the Gramian angular fields on the bottom right\n",
        "ax_gasf = fig.add_subplot(gs[1, 1])\n",
        "im = ax_gasf.imshow(X_gasf[0], cmap='gray', origin = 'lower',\n",
        "               extent=[0,1000, 0,1000])\n",
        "ax_gasf.set_xticks([])\n",
        "ax_gasf.set_yticks([])\n",
        "ax_gasf.set_title('Gramian Angular Field', y=-0.25)\n",
        "\n",
        "\n",
        "# Add colorbar\n",
        "ax_cbar = fig.add_subplot(gs[1, 2])\n",
        "fig.colorbar(im, cax=ax_cbar)\n",
        "\n",
        "\n",
        "# Plot the time series on the top\n",
        "ax_top2 = fig.add_subplot(gs[0, 4])\n",
        "ax_top2.plot(time_points, x)\n",
        "ax_top2.set_xticks(time_ticks)\n",
        "ax_top2.set_xticklabels(time_ticklabels)\n",
        "ax_top2.set_yticks(value_ticks)\n",
        "ax_top2.xaxis.tick_top()\n",
        "ax_top2.set_xlim((0, 1000))\n",
        "ax_top2.set_yticklabels(value_ticks)\n",
        "\n",
        "\n",
        "# Plot the Recurrence plot on the bottom middle\n",
        "ax_gasf = fig.add_subplot(gs[1, 4])\n",
        "im = ax_gasf.imshow(rp, cmap='gray', origin = 'lower',\n",
        "               extent=[0,1000, 0,1000])\n",
        "ax_gasf.set_xticks([])\n",
        "ax_gasf.set_yticks([])\n",
        "ax_gasf.set_title('Recurrence Plot', y=-0.25)\n",
        "\n",
        "\n",
        "# Add colorbar\n",
        "ax_cbar = fig.add_subplot(gs[1, 5])\n",
        "fig.colorbar(im, cax=ax_cbar)\n",
        "\n",
        "\n",
        "# Plot the time series on the top\n",
        "ax_top3 = fig.add_subplot(gs[0, 7])\n",
        "ax_top3.plot(time_points, x)\n",
        "ax_top3.set_xticks(time_ticks)\n",
        "ax_top3.set_xticklabels(time_ticklabels)\n",
        "ax_top3.set_yticks(value_ticks)\n",
        "ax_top3.xaxis.tick_top()\n",
        "ax_top3.set_xlim((0, 1000))\n",
        "ax_top3.set_yticklabels(value_ticks)\n",
        "\n",
        "\n",
        "# Plot the Recurrence plot on the bottom middle\n",
        "ax_gasf = fig.add_subplot(gs[1, 7])\n",
        "im = ax_gasf.imshow(mtf, cmap='gray', origin = 'lower',\n",
        "               extent=[0,1000, 0,1000])\n",
        "ax_gasf.set_xticks([])\n",
        "ax_gasf.set_yticks([])\n",
        "ax_gasf.set_title('Markov Transition Field', y=-0.25)\n",
        "\n",
        "\n",
        "# Add colorbar\n",
        "ax_cbar = fig.add_subplot(gs[1, 8])\n",
        "fig.colorbar(im, cax=ax_cbar)\n",
        "\n",
        "\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 267
        },
        "id": "IkG2cWIDnVbO",
        "outputId": "b4a0850d-ab7c-4fcd-b215-a8ae2becd8ce"
      },
      "execution_count": 70,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x235.636 with 10 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    }
  ]
}